Search a number
-
+
4666240 = 27523317
BaseRepresentation
bin10001110011001110000000
322210001212201
4101303032000
52143304430
6244002544
754443125
oct21631600
98701781
104666240
1126a78a7
121690454
13c74bb7
1489674c
156228ca
hex473380

4666240 has 64 divisors (see below), whose sum is σ = 11676960. Its totient is φ = 1779712.

The previous prime is 4666223. The next prime is 4666243. The reversal of 4666240 is 426664.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4666199 and 4666208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4666243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14562 + ... + 14878.

Almost surely, 24666240 is an apocalyptic number.

4666240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838480).

4666240 is an abundant number, since it is smaller than the sum of its proper divisors (7010720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4666240 is a wasteful number, since it uses less digits than its factorization.

4666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 4666240 is about 2160.1481430680. The cubic root of 4666240 is about 167.1048381362.

The spelling of 4666240 in words is "four million, six hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 317 320 368 460 634 640 736 920 1268 1472 1585 1840 2536 2944 3170 3680 5072 6340 7291 7360 10144 12680 14582 14720 20288 25360 29164 36455 40576 50720 58328 72910 101440 116656 145820 202880 233312 291640 466624 583280 933248 1166560 2333120 4666240